contestada

keisha eric and carlos served a total of 120 orders monday at the school cafeteria. eric served 3 times as many orders as carlos. keisha served 10 more orders than carlos. how many orders did they each serve

Respuesta :

Let the number of orders served by Carlos be x, so

Eric = 3x

Keisha = 10 + x

then, we have:

[tex]\text{Carlos + Eric+ Keisha = 120 }[/tex]

so

[tex]\begin{gathered} x+3x+10+x=120 \\ 5x+10=120 \\ 5x+10-10=120-10 \\ 5x=110 \\ \frac{5x}{5}=\frac{110}{5} \\ x=22 \end{gathered}[/tex]

therefore, the answer is:

Carlos = 22 orders

Eric = 3(22) = 66 orders

Keisha = 10 + 22 = 32 orders

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